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517.52 --- 517.52 Series and sequences --- Series and sequences --- Number theory

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Mathematical analysis --- 517.52 --- Series and sequences --- Tauberian theorems. --- 517.52 Series and sequences --- Fourier, Analyse de --- Théorèmes taubériens --- Transformations integrales

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Summability is an extremely fruitful area for the application of functional analysis; this volume could be used as a source for such applications. Those parts of summability which only have ``hard'' (classical) proofs are omitted; the theorems given all have ``soft'' (functional analytic) proofs.

Functional analysis --- Functional analysis. --- Summability theory. --- Summability theory --- 517.52 --- 517.52 Series and sequences --- Series and sequences --- Sequences (Mathematics) --- Series --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations

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Mathematical analysis --- Fourier series --- Summability theory --- Fourier transformations --- 517.52 --- Transformations, Fourier --- Transforms, Fourier --- Fourier analysis --- Transformations (Mathematics) --- Fourier integrals --- Series, Fourier --- Series, Trigonometric --- Trigonometric series --- Calculus --- Harmonic analysis --- Harmonic functions --- Sequences (Mathematics) --- Series --- Series and sequences --- Fourier series. --- Fourier transformations. --- Summability theory. --- 517.52 Series and sequences --- Fourier, Séries de --- Suites et series --- Sommabilite

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Mathematical analysis --- Numerical analysis --- Analytic functions --- Power series --- 517.52 --- 681.3 *G10 --- Series, Power --- Functions, Analytic --- Functions, Monogenic --- Functions, Regular --- Regular functions --- Functions of complex variables --- Series, Taylor's --- Series and sequences --- Computerwetenschap--?*G10 --- 517.52 Series and sequences --- Séries de puissances --- Fonctions d'une variable complexe --- Fonctions d'une variable réelle